local wea = worldeditadditions local wea_c = worldeditadditions_core local Vector3 = wea_c.Vector3 --- Perlin noise generation engine. -- Original code by Ken Perlin: http://mrl.nyu.edu/~perlin/noise/ -- Port from this StackOverflow answer: https://stackoverflow.com/a/33425812/1460422 -- @class worldeditadditions.noise.engines.Perlin local Perlin = {} Perlin.__index = Perlin Perlin.p = {} Perlin.permutation = { 151, 160, 137, 91, 90, 15, 131, 13, 201, 95, 96, 53, 194, 233, 7, 225, 140, 36, 103, 30, 69, 142, 8, 99, 37, 240, 21, 10, 23, 190, 6, 148, 247, 120, 234, 75, 0, 26, 197, 62, 94, 252, 219, 203, 117, 35, 11, 32, 57, 177, 33, 88, 237, 149, 56, 87, 174, 20, 125, 136, 171, 168, 68, 175, 74, 165, 71, 134, 139, 48, 27, 166, 77, 146, 158, 231, 83, 111, 229, 122, 60, 211, 133, 230, 220, 105, 92, 41, 55, 46, 245, 40, 244, 102, 143, 54, 65, 25, 63, 161, 1, 216, 80, 73, 209, 76, 132, 187, 208, 89, 18, 169, 200, 196, 135, 130, 116, 188, 159, 86, 164, 100, 109, 198, 173, 186, 3, 64, 52, 217, 226, 250, 124, 123, 5, 202, 38, 147, 118, 126, 255, 82, 85, 212, 207, 206, 59, 227, 47, 16, 58, 17, 182, 189, 28, 42, 223, 183, 170, 213, 119, 248, 152, 2, 44, 154, 163, 70, 221, 153, 101, 155, 167, 43, 172, 9, 129, 22, 39, 253, 19, 98, 108, 110, 79, 113, 224, 232, 178, 185, 112, 104, 218, 246, 97, 228, 251, 34, 242, 193, 238, 210, 144, 12, 191, 179, 162, 241, 81, 51, 145, 235, 249, 14, 239, 107, 49, 192, 214, 31, 181, 199, 106, 157, 184, 84, 204, 176, 115, 121, 50, 45, 127, 4, 150, 254, 138, 236, 205, 93, 222, 114, 67, 29, 24, 72, 243, 141, 128, 195, 78, 66, 215, 61, 156, 180 } Perlin.size = 256 Perlin.gx = {} Perlin.gy = {} Perlin.randMax = 256 --- Creates a new Perlin instance. -- @return Perlin A new perlin instance. function Perlin.new() local instance = {} setmetatable(instance, Perlin) instance:load() return instance end --- Initialises this Perlin instance. -- Called automatically by the constructor - you do NOT need to call this -- yourself. function Perlin:load() for i = 1, self.size do self.p[i - 1] = self.permutation[i] self.p[i + 255] = self.permutation[i] end end --- Returns a noise value for a given point in 3D space. -- @param x number The x co-ordinate. -- @param y number The y co-ordinate. -- @param z number The z co-ordinate. -- @returns number The calculated noise value. function Perlin:noise( x, y, z ) y = y or 0 z = z or 0 local xi = wea_c.bit.band(math.floor(x), 255) local yi = wea_c.bit.band(math.floor(y), 255) local zi = wea_c.bit.band(math.floor(z), 255) -- print("x", x, "y", y, "z", z, "xi", xi, "yi", yi, "zi", zi) -- print("p[xi]", self.p[xi]) x = x - math.floor(x) y = y - math.floor(y) z = z - math.floor(z) local u = self:fade(x) local v = self:fade(y) local w = self:fade(z) local A = self.p[xi] + yi local AA = self.p[A] + zi local AB = self.p[A + 1] + zi local AAA = self.p[AA] local ABA = self.p[AB] local AAB = self.p[AA + 1] local ABB = self.p[AB + 1] local B = self.p[xi + 1] + yi local BA = self.p[B] + zi local BB = self.p[B + 1] + zi local BAA = self.p[BA] local BBA = self.p[BB] local BAB = self.p[BA + 1] local BBB = self.p[BB + 1] -- Add 0.5 to rescale to 0 - 1 instead of -0.5 - +0.5 return 0.5 + self:lerp(w, self:lerp(v, self:lerp(u, self:grad(AAA,x,y,z), self:grad(BAA,x-1,y,z) ), self:lerp(u, self:grad(ABA,x,y-1,z), self:grad(BBA,x-1,y-1,z) ) ), self:lerp(v, self:lerp(u, self:grad(AAB,x,y,z-1), self:grad(BAB,x-1,y,z-1) ), self:lerp(u, self:grad(ABB,x,y-1,z-1), self:grad(BBB,x-1,y-1,z-1) ) ) ) end function Perlin:fade(t) return t * t * t * (t * (t * 6 - 15) + 10) end function Perlin:lerp(t, a, b) return a + t * (b - a) end function Perlin:grad(hash, x, y, z) local h = wea_c.bit.band(hash, 15) local u = h < 8 and x or y local v = h < 4 and y or ((h == 12 or h == 14) and x or z) return ((h and 1) == 0 and u or - u) + ((h and 2) == 0 and v or - v) end return Perlin